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Answers
a will represent apples, b will represent berries, and c will represent cherries.
34 = 2a + 1b + 4c
35 = 3a + 2b + 2c
49 = 5a + 3b + 2c
Solve for on variable in the first equation.
b = 34 - 2a - 4c
Plug that into the second equation and solve for a different variable.
35 = 3a + 2(34 - 2a - 4c) + 2c
35 = 3a + 68 - 4a - 8c + 2c
35 = -a + 68 - 6c
-33 = -a - 6c
33 = a +6c
a = 33 - 6c
It gets a little confusing here but you plug in what both a and b are equal to until you have solved for c.
49 = 5a + 3b + 2c
49 = 5(33 - 6c) + 3b + 2c substitute a with 33 - 6c
49 = 165 - 30c + 3b +2c
49 = 165 - 28c + 3b
-116 = -28c + 3(34 - 2a - 4c) substitute b with 34 - 2a - 4c
-116 = -28c + 102 - 6a - 12c
-116 = -40c + 102 - 6(33 - 6c) again substitute a with 33 - 6c
-116 = -40c + 102 - 198 + 36c
-116 = -4c - 96
-20 = -4c
4c = 20
c = 5
a = 33 - 6c
a = 33 - 6(5)
a = 33 - 30
a = 3
b = 34 - 2a - 4c
b = 34 - 2(3) - 4(5)
b = 34 - 6 - 20
b = 8
Apples cost $3 per pound
Berries cost $8 per pound
Cherries cost $5 per pound
Related Questions
Start at 125 and make a pattern subtracting 6
Write 2 1/8 as an improper fraction.
Pamela bought an electric drill at 85% of the regular price. She paid 32.89 for the drill. What is the regular price?
Show twelve in four different ways use words pictures and numbers
Answers
Answer:
(-7,-1)
Step-by-step explanation:
(x2- x1, y2- y1)
(-3-4,1-2)
=(-7,-1)
concert cost $75 each, and tickets to sit on the lawn
during the concert cost $40 each. Organizers of the
concert announced that 350 tickets had been sold
and that $19,250 had been raised through ticket sales
alone. Which of the following systems of equations
could be used to find the number of tickets for bench
seats, B, and the number of tickets for lawn seats, L,
that were sold for the concert?
Answers
Answer:
BENCH:150
LAWN:200
Step-by-step explanation:
B+L=350
75B+40L=19250
75B+40(350-B)=19250
75B+14000-40B=19250
75B-40B=5250
35B=5250
B=150
L=200
Answers
1 is 5% of 20
because when you multiply 20 by 5 = 100
I hope that's help !
Happy Sunday:)
Answers
Answer:
[9,14,-13,-14]
Step-by-step explanation:
if 1/2(X+Z)=Y
X+Z=2Y
X+Z=2([4,8,-3,-6])=[8,16,-6,-12]
X=2Y-Z
X=[8,16,-6,-12]-[-1,-2,7,2]=[9,14,-13,-14]
X=[9,14,-13,-14]
Answer: [9,18,-13,-14]
Answers
y−3=2(x−2)
y−5=2(x−6)
y−6=2(x−5)
A graph with a line running through point A, with coordinates (3, 2), and point B, with coordinates (5, 6)
Answers
Answer:
Step-by-step explanation:
The point-slope form of equation of s line that passes through two points (a,b) and (c,d) is given by :-
Given : A graph with a line running through point A, with coordinates (3, 2), and point B, with coordinates (5, 6).
Then, the a point slope form equation for line AB will be :-
Hence , equation is a point slope form equation for line AB will be :
Answer:
Answer choice D:
y - 6 = 2(x - 5)
Step-by-step explanation:
This question is basically asking you to find the point-slope form equation for a line going through the points (3, 2) and (5, 6).
As you can tell by the name, point-slope form needs both a point that the line goes through and the slope of the line.
You can find the slope of the line by using the slope formula since you have two points that the line goes through.
Slope formula:
Substitute in the points A and B into the formula.
The slope of this line is 2.
Now since we have the slope and a point of the line, we can plug this into the point-slope form equation, which is y - y1 = m(x - x1).
We will be using one of the points (I will be using point A) to substitute the coordinates into y1 and x1, and using the slope to substitute into m.
Substitute point A's coordinates and the slope of the line into the point-slope form equation.
y - (2) = 2(x - (3))
I always put parentheses around the numbers I substitute into an equation to see exactly what is being plugged in, but now you can remove them to find your answer.
y - 2 = 2(x - 3)
Now, since none of the answer choices do not fit with the answer we have found, we can use the other point coordinate-- point B.
Substitute point B and the slope 2 into the equation.
y - (6) = 2(x - (5))
Remove the parentheses.
y - 6 = 2(x - 5)
There is an answer choice for this answer we have found, answer choice D.
By the way, both of the equations we found: y - 2 = 2(x - 3) and y - 6 = 2(x - 5) will yield the same answer in the end so don't worry if one of the points don't work if you have a multiple choice like this question.